You
are ambling along the tiberine day, watching the beautiful passerby and enjoying
the crisp weather, when a sudden wrenching in pain in your
right
atrium interrupts your stroll. As you clutch your heart and fall to the ground,
a peculiar man with wings and a bow lands next to you. "Just trying out a new
arrow my uncle Divisio, God of Arithmetic, gave me," he says. Reaching toward
you, he pulls an arrow studded with five disks out of your chest.
"Not like the old one, this, " he continues, running his hand
lovingly over the disks. "you get to choose who you want to as your sweetheart
if you can solve the puzzle." Use the numbers 1 through 9, he tells you, placing
one digit in each of the circles according to the following rule:
Each
pair of digits connected by a line must make a two-digit number that is evenly
divisible by either 7 or 13. For example, 7 and 8 connected by a line would
be appropriate because the 78 is divisible by 13. You can consider the two digits
in one order ot the other, and no digit can be used more than once.
"For
every solution you find," the winged man adds before flying off, "you win someone's
heart. If you can find a solution in which lines connect the top and bottom
disks to the base as well, you will always be lucky in love. There are at least
five hearts out there for you. Can you win any others?"